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Simplifying 5(x + -1) + -3(x + -4) = 4(x + 4) Reorder the terms: 5(-1 + x) + -3(x + -4) = 4(x + 4) (-1 * 5 + x * 5) + -3(x + -4) = 4(x + 4) (-5 + 5x) + -3(x + -4) = 4(x + 4) Reorder the terms: -5 + 5x + -3(-4 + x) = 4(x + 4) -5 + 5x + (-4 * -3 + x * -3) = 4(x + 4) -5 + 5x + (12 + -3x) = 4(x + 4) Reorder the terms: -5 + 12 + 5x + -3x = 4(x + 4) Combine like terms: -5 + 12 = 7 7 + 5x + -3x = 4(x + 4) Combine like terms: 5x + -3x = 2x 7 + 2x = 4(x + 4) Reorder the terms: 7 + 2x = 4(4 + x) 7 + 2x = (4 * 4 + x * 4) 7 + 2x = (16 + 4x) Solving 7 + 2x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 2x + -4x = 16 + 4x + -4x Combine like terms: 2x + -4x = -2x 7 + -2x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -2x = 16 + 0 7 + -2x = 16 Add '-7' to each side of the equation. 7 + -7 + -2x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 16 + -7 -2x = 16 + -7 Combine like terms: 16 + -7 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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